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Acceleration. Chapter 2 Section 2. Acceleration. Acceleration – The quantity that describes the rate of change of velocity in a given time interval. Average Acceleration – The average change in velocity divided by the change in time. Acceleration Equation. Acceleration Units.

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Acceleration

Acceleration

Chapter 2 Section 2


Acceleration1
Acceleration

  • Acceleration – The quantity that describes the rate of change of velocity in a given time interval.

  • Average Acceleration – The average change in velocity divided by the change in time.



Acceleration units
Acceleration Units

  • The SI units for acceleration “m/s²”

    • Acceleration = velocity/time = m/s/s = m/s²


Acceleration vector
Acceleration Vector

  • Acceleration is a vector quantity

    • Has both magnitude and direction

  • Since acceleration is a vector, it can have a positive or negative value.

    • If acceleration and velocity are in the same direction, the object speeds up.

    • If the acceleration and velocity are in opposite directions, the object slows downs.



Graphing linear motion
Graphing Linear Motion

  • The slope and shape of a single graph can describe the motion of an object’s displacement, velocity, and acceleration vs. time.

    • Slope = rise / run

      • Rise – Dependant Variable (y-axis)

      • Run – Independent Variable (x-axis)


Relating displacement velocity and acceleration
Relating Displacement, Velocity and Acceleration

  • On a Displacement vs. Time graph

    • Rise / Run = Slope

    • Displacement / Time = Velocity

      • The tangent line of a single point on a (d vs. t) graph is equal to the instantaneous velocity at that moment in time.

  • On a Velocity vs. Time graph

    • Velocity / Time = Acceleration

      • The tangent line of a single point on a (v vs. t) graph is equal to the instantaneous acceleration at that moment in time.


Graphing hints
Graphing Hints

d vs. t

V vs. t

a vs. t

Area

Slope

Slope

Area

d vs. t

Slope = Velocity

V vs. t

Slope = Acceleration

a vs. t

Area = Velocity

V vs. t

Area = Displacement

=>

=>

=>


Graph of a single object in motion
Graph of a Single Object In Motion

displacement

vs.

time

velocity

vs.

time

acceleration

vs.

time

d

v

a

t

t

t


Object in free fall
Object In Free Fall

displacement

vs.

time

velocity

vs.

time

acceleration

vs.

time

d

v

a

t

t

t


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